(\partial)/(\partial x)(xe^y+y+1)

Lösung

\frac{\partial}{\partial x} (x e^{y} + y + 1)

e^{y}

Schritte zur Lösung

\frac{\partial}{\partial x} (x e^{y} + y + 1)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (x e^{y}) + \frac{\partial}{\partial x} (y) + \frac{\partial}{\partial x} (1)

\frac{\partial}{\partial x} (x e^{y}) = e^{y}

\frac{\partial}{\partial x} (y) = 0

\frac{\partial}{\partial x} (1) = 0

= e^{y} + 0 + 0

Vereinfache

= e^{y}